scholarly journals Optical Reflection-Intensity-Distribution Reproduction Based on the Detection of Interference Spectrum Distribution. A Phase Sensitive Interference Component Detection Method.

1996 ◽  
Vol 24 (3) ◽  
pp. 404-412 ◽  
Author(s):  
Tsutomu ICHIMURA ◽  
Naoki ANDOU ◽  
Tadayuki FUNABA ◽  
Sigeru ENDOU ◽  
Naohiro TAN-NO
Keyword(s):  
Intensity Distribution ◽  
Detection Method ◽  
Interference Spectrum ◽  
Optical Reflection ◽  
Interference Component ◽  
Spectrum Distribution ◽  
Phase Sensitive ◽  
Reflection Intensity

Study on Detection Method of Moment of Inertia with Torsion Pendulum Method in Frequency Domain Based on FFT

2015 ◽  
Vol 738-739 ◽  
pp. 826-831
Author(s):  
Xiao Lin Zhang ◽  
Lie Shan Zhang ◽  
Bin Zou ◽  
Wen Yan Tang ◽  
Qiu Feng Shao
Keyword(s):  
Frequency Domain ◽  
Frequency Spectrum ◽  
Detection Method ◽  
Damping Ratio ◽  
Peak Frequency ◽  
Moment Of Inertia ◽  
Natural Vibration Frequency ◽  
Torsion Pendulum ◽  
Method Of Moment ◽  
Spectrum Distribution

The article presents the detection method of moment of inertia in frequency domain based on the torsion pendulum method. It analyzes the frequency spectrum distribution of pendulum motion under the condition of linear damping, establishes the relationship between peak frequency and moment of inertia; it proposes the detection method of moment of inertia based on FFT. The frequency spectrum analysis of multiple sets of simulation sequence shows that it has mapping relationship among un-damped natural vibration frequency, frequency bandwidth and damping ratio. The experiment results verify the correctness of detection method of moment of inertia based on FFT.

AN ALTERNATIVE APPROACH TO POINCARÉ SECTIONING IN WEAKLY NONLINEAR SYSTEMS

1999 ◽  
Vol 09 (05) ◽  
pp. 953-962 ◽  
Author(s):  
M. D. TODD ◽  
S. T. VOHRA
Keyword(s):  
Time Scale ◽  
Detection Method ◽  
Fast Time ◽  
Spherical Pendulum ◽  
Weakly Nonlinear ◽  
Time Dynamics ◽  
Alternative Approach ◽  
Phase Sensitive ◽  
First Time ◽  
Pendulum Experiment

A large array of dynamical systems can be broadly classified as weakly nonlinear, where a common feature is the presence of dual time-scale dynamics. Often it is desirable to isolate the dynamics at one time scale (typically the slower time scale), and this paper presents a generic phase-sensitive detection method that successfully isolates the slow-time dynamics, stripping off the less-relevant and often dominant fast-time dynamics. We shall also show for the first time, under certain phase considerations, the equivalence of the present method and the traditional Poincaré section of the original full response. The method is first presented in theory and then applied to data from a numerical simulation of the forced spherical pendulum followed by data from a similar spherical pendulum experiment. The method is successful provided certain conditions apply for phase stationarity.

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